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  1. What is a continuous extension? - Mathematics Stack Exchange

    The continuous extension of f(x) f (x) at x = c x = c makes the function continuous at that point. Can you elaborate some more? I wasn't able to find very much on "continuous extension" …

  2. probability theory - Why does a C.D.F need to be right-continuous ...

    May 10, 2019 · Why does a C.D.F need to be right-continuous? Ask Question Asked 6 years, 2 months ago Modified 6 years, 2 months ago

  3. Proof of Continuous compounding formula - Mathematics Stack …

    Following is the formula to calculate continuous compounding A = P e^(RT) Continuous Compound Interest Formula where, P = principal amount (initial investment) r = annual interest …

  4. Continuous functions do not necessarily map closed sets to …

    May 21, 2012 · 72 I found this comment in my lecture notes, and it struck me because up until now I simply assumed that continuous functions map closed sets to closed sets. What are some …

  5. Meaning of the continuous spectrum and the residual spectrum

    Jan 8, 2017 · So its meaning seems to be the same as in a finite dimensional case (scaling of eigenvectors that roughly represent orientation of the distortion by T T). What is the meaning …

  6. Discrete vs Continuous vs Random Variables - Mathematics …

    Dec 28, 2015 · for a continuous random variable X X, because the answer is always zero. Note that there are also mixed random variables that are neither continuous nor discrete. That is, …

  7. Is $f(z)=\\bar{z}$ continuous? - Mathematics Stack Exchange

    A complex-valued function is continuous if and only if both, its real part and its imaginary part are continuous.

  8. What's the difference between continuous and piecewise …

    Oct 15, 2016 · A continuous function is a function where the limit exists everywhere, and the function at those points is defined to be the same as the limit. I was looking at the image of a …

  9. Difference between continuity and uniform continuity

    Jan 27, 2014 · To understand the difference between continuity and uniform continuity, it is useful to think of a particular example of a function that's continuous on R R but not uniformly …

  10. Spectral theory - continuous spectrum - Mathematics Stack …

    Jul 30, 2014 · Continuous Spectrum: The continuous spectrum exists wherever $\omega (\lambda)$ is positive, and you can see the reason for the original use of the term continuous …